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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Polynomial Functions | - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions |
| Topic 2: Validity of Models | - Determine fit - Examine utility - Determine validity |
| Topic 3: Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on graphs - Derive conclusions based on data |
| Topic 4: Exponential Functions | - Interpret concavity for exponential functions - Interpret inputs and outputs for exponential functions - Interpret rates of change for exponential functions |
| Topic 5: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions |
| Topic 6: Graphical Depictions | - Interpret concavity for situations - Interpret rates of change for situations - Interpret asymptotes for situations - Interpret inputs and outputs for situations - Interpret maximum and minimum for situations |
| Topic 7: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.
Which type of function should be used to model the data?
A) Linear
B) Logistic
C) Polynomial
D) Exponential
2. A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. The graphed regression function has an r
2value of 0.41. The predicted number of annual bear sightings after 19.4 years is 88.5.
Is this prediction appropriate?
A) No. The r2value indicates a strong fit, but x=19.4 is more than 50% of the range beyond the maximum value.
B) Yes. The r2value indicates a moderate fit, and x=19.4 is within 25% of the range of the maximum value.
C) Yes. The r2value indicates a strong fit, and x=19.4 is within 50% of the range of the maximum value.
D) No. The r2value indicates a moderate fit, but x=19.4 is more than 25% of the range beyond the maximum value.
3. Consider the function I(m)=41m²#490m+30, which represents the daily income, I, in dollars, of a store based on the number of months, m, since the beginning of the year. What is the difference between I(7) and I(9)?
A) Approximately $332
B) Approximately $2
C) Approximately 332 months
D) Approximately 2 months
4. As a drone travels away from an operator, the function G(x)=24+47x models the distance, in yards, between the drone and the operator at x minutes. What is the value of G(1.9)?
A) 1.88
B) 24
C) 113.3
D) 47
5. An exponential growth function can be used to model the number of bacteria in a population. The function G(t)=1,600× # 1.31 # ^t is the model, with Grepresenting the number of bacteria cells and trepresenting the time in minutes.
What is the size of the population after 25 minutes?
A) 1,043,833
B) 796,819
C) 1,791,322
D) 1,367,421
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: D | Question # 3 Answer: A | Question # 4 Answer: C | Question # 5 Answer: D |
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